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Finding the Fourth Proportional to 36,460.76, 54,686.16 and 14,289.63

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Solution

The fourth proportional to 36,460.76, 54,686.16 and 14,289.63 is: 21,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460.76 : 54,686.16 = 14,289.63 : x
  2. Step 2: Convert to fraction form
    36,460.76/54,686.16 = 14,289.63/x
  3. Step 3: Cross multiply
    36,460.76x = 54,686.16 × 14,289.63
  4. Step 4: Simplify right side
    36,460.76x = 781,444,992.52
  5. Step 5: Solve for x
    x = 781,444,992.52/36,460.76
  6. Step 6: Final answer
    x = 21,432.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.